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Finding the Fourth Proportional to 1,156.81, 1,596.45 and 659.54

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Solution

The fourth proportional to 1,156.81, 1,596.45 and 659.54 is: 910.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.81 : 1,596.45 = 659.54 : x
  2. Step 2: Convert to fraction form
    1,156.81/1,596.45 = 659.54/x
  3. Step 3: Cross multiply
    1,156.81x = 1,596.45 × 659.54
  4. Step 4: Simplify right side
    1,156.81x = 1,052,922.63
  5. Step 5: Solve for x
    x = 1,052,922.63/1,156.81
  6. Step 6: Final answer
    x = 910.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.